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Write the expression 2 3/5 as a radical

2 Answers

1 vote
2 3/5=2*5+3/5=13/5=2,6; 2,6²=6,76; 2 3/5=√6,76
User Fluent
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3 votes

Answer:


\sqrt[5]{8} is the radical form of the given expression.

Explanation:

We have been given an expression:


2^{(3)/(5)}

It can be rewritten as:

Using
x^{(a)/(b)}=x^{a\cdot(1)/(b)}


(2^3)^{(1)/(5)}

Now, we will use the formula:


x^{(1)/(n)}=\sqrt[n]{x}

Here, n=5

We have
2{^3\cdot(1)/(5)}=\sqrt[5]{2^3}

We know that
2^3=8

So,
\sqrt[5]{8} is the radical form of the given expression.

User Expz
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